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34400443 = 711446759
BaseRepresentation
bin1000001100111…
…0100010111011
32101201201112111
42003032202323
532301303233
63225153151
7565253560
oct203164273
971651474
1034400443
1118466620
12b62b7b7
137185bbc
1447d6867
153047acd
hex20ce8bb

34400443 has 8 divisors (see below), whose sum is σ = 42888960. Its totient is φ = 26805480.

The previous prime is 34400411. The next prime is 34400449.

It is a happy number.

34400443 is nontrivially palindromic in base 10.

34400443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34400443 - 25 = 34400411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223303 + ... + 223456.

It is an arithmetic number, because the mean of its divisors is an integer number (5361120).

Almost surely, 234400443 is an apocalyptic number.

34400443 is a deficient number, since it is larger than the sum of its proper divisors (8488517).

34400443 is a wasteful number, since it uses less digits than its factorization.

34400443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446777.

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34400443 is about 5865.1890847610. The cubic root of 34400443 is about 325.2280624094.

It can be divided in two parts, 34400 and 443, that added together give a palindrome (34843).

The spelling of 34400443 in words is "thirty-four million, four hundred thousand, four hundred forty-three".

Divisors: 1 7 11 77 446759 3127313 4914349 34400443